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olasank [31]
2 years ago
5

4+5(p-1) how to expand brackets and then simplify

Mathematics
1 answer:
Valentin [98]2 years ago
4 0

Step-by-step explanation:

these are multiplications.

you could also write

4 + 5×(p - 1)

now, we need to calculate the contents of brackets (if we can), then do the multiplications and divisions, before we can do the then remaining additions and subtractions.

if we cannot do a calculation directly (because there is a variable involved), we need to do and document the single steps for the individual parts involved.

so,

4 + 5×(p - 1) = 4 + 5×p + 5×-1 = 4 + 5p - 5 = 5p - 1

remember, a multiplication of 2 expressions is done by multiplying every term of one expression with every term of the other expression and adding the results up (by considering their individual signs, of course).

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For the function f(x) = 5x - 7 answer the following questions:
Elis [28]

Answer:

See below

Step-by-step explanation:

<h3>Given function </h3>
  • f(x) = 5x - 7

<u>Another notation for same function is</u>

  • y = 5x - 7, where 5 is the slope and -7 is the y-intercept
<h3>Questions </h3>

<u>1. Is the function increasing or decreasing? </u>

  • Increasing as x has positive slope

<u>2. What is the y-intercept? </u>

  • y- intercept is -7

<u>3. What is the slope? </u>

  • The slope is 5

<u>4. What is f(-2)? </u>

  • f(-2) = 5(-2) - 7 = - 10 - 7 = -17

<u>5. If f(x) = 0, what is x?</u>

  • f(x) = 0
  • 0 = 5x - 7
  • 5x = 7
  • x = 7/5
  • x = 1.4
8 0
3 years ago
Read 2 more answers
Brand on has 25 buttons.Mason has 6 times as many buttons.How many buttons does Mason have?
Lady_Fox [76]

Answer: Mason has 150 buttons.

Step-by-step explanation: Brandon has 25 buttons. If Mason has 6 times as many, all you have to do is multiply 25 times 6. You end up with 150 buttons.

4 0
3 years ago
Read 2 more answers
Suppose that poaching reduces the population of an endangered animal by 6​% per year. Further suppose that when the population o
artcher [175]

If poaching reduces the population of an endangered animal by 6% and the criteria of population extinction is 20 with present population 1500 then it will take 3.62 years to reach to the mark of extinction.

Given Poaching reduces the population of endangered animals by 6% per year. The criteria of population extinction is 20. Present population being 1500.

Number of years taken by the population of endangered animals to reach to 20 mark can be calculated as under:

20=1500*(1-0.06)^{n}

20=1500*0.94^{n}

20/1500=0.94^{n}

0.133=0.94^{n}

take log both sides

log(0.133)=log0.94^{n}-------1

log(0.133)=nlog (0.94)

put the values log values:

log(0.133)=-0.8761

log(0.94)=-0.0268

Taking 1

-0.8761=n*(-0.0268)

n=0.8761/0.0268

n=3.269

Hence to reach level of 20 the population takes 3.2 years.

Learn more about logarithm at brainly.com/question/25710806

#SPJ10

8 0
1 year ago
Which equation represents the total interest, T, earned when the principal amount is $100, the annual simple
netineya [11]

Answer:

The answer is option (C), T = 100 • 0.1 • 10

Step-by-step explanation:

Total interest (T) earned after a 10 years can be expressed as;

Total interest (T)=Principal amount×interest rate×Number of years

where;

Total interest=T

Principal amount=$100

Interest rate=10%=10/100=0.1

Replacing;

T=100×0.1×10

The equation for calculating the total interest amount after 10 years can be written as;

T = 100 • 0.1 • 10

7 0
3 years ago
Read 2 more answers
Find the value of x.<br><br> help
Komok [63]

Answer:

X=62

Step-by-step explanation:

X=62 because the side where x is and where the other degree is, they are congruent. And since you have to add 12 it would have to be 62 to be equal to 74.

7 0
3 years ago
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